Optimal. Leaf size=19 \[ \text {Int}\left (\frac {\text {csch}(a+b x)}{\sqrt {c+d x}},x\right ) \]
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Rubi [A] time = 0.03, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx &=\int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx\\ \end {align*}
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Mathematica [A] time = 21.03, size = 0, normalized size = 0.00 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.56, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.09, size = 0, normalized size = 0.00 \[ \int \frac {\mathrm {csch}\left (b x +a \right )}{\sqrt {d x +c}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.05 \[ \int \frac {1}{\mathrm {sinh}\left (a+b\,x\right )\,\sqrt {c+d\,x}} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\operatorname {csch}{\left (a + b x \right )}}{\sqrt {c + d x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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